As pointed out, "audio science review" is dubiously named.
So in the future, I would suggest you try to verify the quality of measurements before recommending them, to prevent a situation like this from happening again.

It's not a matter of opinion. Either the headphone produces more detail or it doesn't. And in this case it doesn't; the sense of "detail" is just from the elevated treble. "Detail" as a descriptor really doesn't mean much anyway. Too vague.

This is the HD 6x0 chassis with the HD 700 driver dropped in. No confirmation yet on what if any tuning has been done to the driver to get it to play nice with the change in enclosure. Either way, I am skeptical that this will be an upgrade to the HD 650 or even HD 600 across the board given the issues with the HD 700 in both measured and sonic performance.
According to the project page, it comes with the same cable as the HD 650, that is 1/4" with a 1/4" to 1/8" dongle adapter.

The monitor output appears to be stereo TRS just like a normal headphone jack - although worth noting that the signal sent to this output vs the headphone output is not the same. Line 2 appears to be a mono input, so the correct way to consume a stereo signal would be split it to lines 1 and 2.
I expect that you can use TRS cables here, but you just need to be mindful of the number of channels that are on that cable.

All else being equal, the difference would be negligible. And for all else to be equal, we would need to assume that the original source material recorded to the DVD was recorded and processed with at least that much bitrate.